Hermitian matrix
短语[计] 赫米特矩阵
发音
词形变化
释义与例句
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1.
A square matrix A with complex entries that is equal to its own conjugate transpose, i.e., such that A=A^†.
数学Hermitian matrices have real diagonal elements as well as real eigenvalues.
If a Hermitian matrix has a simple spectrum (of eigenvalues) then its eigenvectors are orthogonal.
If an observable can be described by a Hermitian matrix H, then for a given state #92;langleA#92;rangle, the expectation value of the observable for that state is #92;langleA#124;H#124;A#92;rangle.
1988, I. M. Gelfand, M. I. Graev, Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry, Israel M. Gelfand, Collected Papers, Volume II, Springer-Verlag, page 366, There are three types of such spaces: the space of positive definite (or negative definite) Hermitian matrices, the space of nondefinite Hermitian matrices, and finally the space of degenerate Hermitian matrices p, satisfying the condition p ≥ 0 (or p ≤ 0).
where H is a hermitian matrix. Now any linear combination of hermitian matrices with real coefficients is again a hermitian matrix.
词源
Named after French mathematician Charles Hermite (1822–1901), who demonstrated in 1855 that such matrices always have real eigenvalues.
来源：wiktionary